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GCF of 174/12, 835/921

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 174/12, 835/921 i.e 1/3684 easily. The following is the detailed procedure to determine the greatest common factor of fractions 174/12, 835/921.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 174/12,835/921?

Given fractions are 174/12,835/921

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 174/12,835/921, numerators are 174,835

Denominators are 12,921

The GCF of 174,835 is 1 .

LCM of 12,921 is 3684.

The greatest common factor of 174/12,835/921 = [GCF of 174,835]/[LCM of 12,921]= 1/3684

Therefore, the GCF of 174/12,835/921 is 1/3684.

Greatest Common Factor of 174,835

To find the highest common factor of 174,835, we have to find the factors of both numbers and list the highest common factor.

The factors of 174 are 1, 2, 3, 6, 29, 58, 87, 174

The factors of 835 are 1, 5, 167, 835

The HCF of 174,835 is 1.

Lets's calculate GCF of 174,835

Greatest Common Factor (GCF) of 174,835 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 174,835 By Matching Biggest Common Factor Method

Greatest Common Factor of 174,835 By Matching Biggest Common Factor Method

Now, list down the factors of 174

:

1,2,3,6,29,58,87,174

Now, list down the factors of 835

:

1,5,167,835

Greatest Common Factor

We found the factors 174,835 . The biggest common factor number is the GCF number.
So the greatest common factor 174,835 is 1.

Lets's calculate LCM of 12,921

Lowest Common Multiple of 12,921 using Common Division

3 12, 921
4, 307

∴ So the LCM of the given numbers is 3 x 4 x 307 = 3684

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3684

Therefore, the GCF of Fractions 174/12,835/921 is 1/3684

Least Common Multiple of 12,921 with GCF Formula

Least Common Multiple of 12,921 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 12,921 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,921) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(12,921) x common factors =3 x 1 = 3

LCM(12,921) = ( 12 × 921 ) / 3

LCM(12,921) = 11052 / 3

LCM(12,921) = 3684


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FAQs on GCF of Fractions of 174/12, 835/921

1. What is the HCF of 174,835?

The HCF of 174,835 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 174/12, 835/921?

Answer: GCF of Numerators as per given numbers 174/12, 835/921 is

GCF of Numerators i.e. for 174,835 is 1

LCM of denominators i.e. for 12,921 is 3684.

Thus, GCF of Fractions is 1/3684.Finally, GCF of Fractions for 174/12, 835/921 is 1/3684.